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Finding the Third Proportional to 1,569,247 and 2,424,847

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Solution

The third proportional to 1,569,247 and 2,424,847 is: 3,746,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,247 : 2,424,847 = 2,424,847 : x
  2. Step 2: Convert to fraction form
    1,569,247/2,424,847 = 2,424,847/x
  3. Step 3: Cross multiply
    1,569,247x = 2,424,847 × 2,424,847
  4. Step 4: Simplify right side
    1,569,247x = 5,879,882,973,409
  5. Step 5: Solve for x
    x = 5,879,882,973,409/1,569,247
  6. Step 6: Final answer
    x = 3,746,945.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.